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My favourite parties are Crono, Frog, and Robo for most of the game, followed up by Crono, Frog, and Magus for late in the game. I love all of the characters and always tried to mix things up a bit, but these were the two setups I always came back to.
As far as Techs go, it's been far, far too long since my last replay of the game (8 or 9 years, I think), so I can't think of most of the Techs, let alone names. However, I remember enjoying the one between Frog and Crono, in which Frog flung his blade into the enemy, it stuck there, and then Crono shot Lightning down with the damage being enhanced by, you know, metal being stuck in the enemy! I always thought that one was really cool!
*sigh* It's been too long...
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I haven't played for a while, but I remember my main party is Crono, Frog, and Marle. You get insane healing, insane physical double-techs, insane Crono with max Speed, PrismSpecs, and Rainbow (with haste, it's even more fun), and insane Arc Impulse.